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Analyzing Car Crash Data

Please see attachment for problems I am struggling with.

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Multinomial Experiments

#11 Randomly selected deaths from car crashes were obtained and the results are included in the table below. Use a 0.05 significance level to test the claim that car crash fatalities occur with equal frequency on the different days of the week. How might the results be explained? Why does there appear to be an exceptionally large number of car crash fatalities on Saturday?

Day Sunday Monday Tuesday Wednesday Thursday Friday Saturday
# of fatalities
132
98
95
98
105
133

158

#21 Mars, Inc. claims that its M&M plain candies are distributed with the following color percentages: 16% green, 20% orange, 14% yellow, 24% blue, 13% red, and 13% brown. Refer to the data set below and use the sample data to test the claim that the color distribution is as claimed by Mars, Inc. Use a 0.05 significance level.

Red Orange Yellow Brown Blue Green
0.751 0.735 0.883 0.696 0.881 0.925
0.841 0.895 0.769 0.876 0.863 0.914
0.856 0.865 0.859 0.855 0.775 0.881
0.799 0.864 0.784 0.806 0.854 0.865
0.966 0.852 0.824 0.840 0.810 0.865
0.859 0.866 0.858 0.868 0.858 1.015
0.857 0.859 0.848 0.859 0.818 0.876
0.942 0.838 0.851 0.982 0.868 0.809
0.873 0.863 0.803 0.865
0.809 0.888 0.932 0.848
0.890 0.925 0.842 0.940
0.878 0.793 0.832 0.833
0.905 0.977 0.807 0.845
0.850 0.841 0.852
0.830 0.932 0.778
0.856 0.833 0.814
0.842 0.881 0.791
0.778 0.818 0.810
0.786 0.864 0.881
0.853 0.825
0.864 0.855
0.873 0.942
0.880 0.825
0.882 0.869
0.931 0.912
0.887
0.886

Contingency Tables

#11 The data in the accompanying table summarize results from tests of the accuracy of polygraphs. Use a 0.05 significance level to test the claim that whether the subject lies is independent of the polygraph indication. What do the results suggest about the effectiveness of polygraphs?

Polygraph Indicated Truth Polygraph Indicated Lie
Subject actually told the truth 65 15
Subject actually told a lie 3 17

#17 Use the data in the table to test the claim that occupation is independent of whether the cause of death was homicide. Does any particular occupation appear to be most prone to homicides?

Police Cashiers Taxi Drivers Guards
Homicide 82 107 70 59
Cause of death other than homicide
92
9
29
42

Analysis of Variance

#11 The head injury data (in hic) are given below. Use a 0.05 significance level to test the null hypothesis that the different weight categories have the same mean. Do the data suggest that larger cars are safer?

Subcompact 55 47 59 49 42
Compact 57 57 46 54 51
Midsize 45 53 49 51 46
Full-size 44 45 39 58 44

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Solution Summary

Statistic questions on car crash data using chi-squared tests are answered in Word and Excel.

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